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Simplifying 26 = 2(4x + 1) Reorder the terms: 26 = 2(1 + 4x) 26 = (1 * 2 + 4x * 2) 26 = (2 + 8x) Solving 26 = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 26 + -8x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 26 + -8x = 2 + 0 26 + -8x = 2 Add '-26' to each side of the equation. 26 + -26 + -8x = 2 + -26 Combine like terms: 26 + -26 = 0 0 + -8x = 2 + -26 -8x = 2 + -26 Combine like terms: 2 + -26 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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